Xiaoling Han, Xuan Ma, Guowei Dai
Abstract:
Existence of solutions and of extremal random
solutions are proved for periodic boundary-value problems
of fourth-order ordinary random differential equations.
Our investigation is done in the space of continuous real-valued
functions defined on closed and bounded intervals.
Also we study the applications of the random version of a nonlinear
alternative of Leray-Schauder type and an algebraic
random fixed point theorem by Dhage.